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Which of the following statements regarding Pascal's triangle are correct?
A. the first and last numbers of a row are always 1.
B. the nth row gives the coefficients in the expansion of (x+y)^n-1.
C. the nth row gives the coefficients in the expansion of (x+y)^n.
D. each number not at the end of a row, is the sum of the numbers that are directly to its right and left, in the row below.

Respuesta :

Answer with explanation:

Pascal Triangle→gives coefficient of the polynomial,[tex](x+y)^n[/tex] ,from ,n=0,1,2,3....

      1           →First row

    1      1     →Second raw

 1     2     1    →third raw

1     3     3     1   →Fourth raw

1      5    10     5    1   →Fifth row

......................

...............................

The statements regarding Pascal's triangle,which are correct is

A. The first and last numbers of a row are always 1.

B.  The nth row gives the coefficients in the expansion of (x+y)^n.

As, first row contains 1,term , second row has two terms,........nth row has n terms,which is the coefficients in the expansion of (x+y)^n.

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